Results 31 to 40 of about 831,773 (152)
Schur-multiplicative maps preserving unitarily invariant norms [PDF]
, 2008 Characterizations are obtained for maps on real or complex matrices which preserve both the Schur (Hadamard) product and a given unitarily invariant ...
Poon, Edward
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Operator Monotone Functions and Convexity of Its Derivatives Norms
پژوهشهای ریاضی, 2021 Introduction Given the important role convex and quasi-convex functions play in many areas of mathematics and especially in optimization, one of the inequalities that has attracted the attention of many mathematicians in recent decades is Hermit ...
Zahra Rahimi Chegeni +2 more
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Volume ratio, sparsity, and minimaxity under unitarily invariant norms [PDF]
2013 IEEE International Symposium on Information Theory, 2013 The current paper presents a novel machinery for studying non-asymptotic minimax estimation of high-dimensional matrices, which yields tight minimax rates for a large collection of loss functions in a variety of problems. Based on the convex geometry of finite-dimensional Banach spaces, we first develop a volume ratio approach for determining minimax ...
Zongming Ma, Yihong Wu 0001
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Norms on complex matrices induced by random vectors II: extension of weakly unitarily invariant norms [PDF]
, 2023 We improve and expand in two directions the theory of norms on complex matrices induced by random vectors. We first provide a simple proof of the classification of weakly unitarily invariant norms on the Hermitian matrices. We use this to extend the main
Hurley, Jackson +2 more
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Some inequalities for unitarily invariant norms [PDF]
Journal of Mathematical Inequalities, 2012 This paper aims to present some inequalities for unitarily invariant norms. In section 2, we give a refinement of the Cauchy-Schwarz inequality for matrices. In section 3, we obtain an improvement for the result of Bhatia and Kittaneh (Linear Algebra Appl. 308 (2000) 203-211).
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Subspace Acceleration for Efficient Nonlinear Water Wave Simulation
International Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1165-1180, October 2026.We introduce an exponentially weighted subspace acceleration technique to reduce GMRES iterations for solving the Poisson equation with time‐dependent coefficients in nonlinear, dispersive free‐surface flows governed by the incompressible Navier‐Stokes equations. The method significantly reduces memory requirements and computational complexity compared
Rasmus Kleist Hørlyck Sørensen +3 more
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Compile‐Once Block Encodings for Masked Similarity‐Transformed Effective Hamiltonians
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.Composer transforms structured electronic‐structure operators into a reusable quantum‐circuit fabric. Once compiled, the same block‐encoding architecture is re‐dialed through coefficients, rotation angles, and masks to generate similarity‐transformed effective Hamiltonians across related problem instances, avoiding repeated structural recompilation ...
Bo Peng, Yuan Liu, Karol Kowalski
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Finite‐Time Protocols Stabilize Charging in Noisy Ising Quantum Batteries
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.A transverse‐field quantum Ising chain is charged as a quantum battery using finite‐time ramps, which suppress energy oscillations and stabilize charging compared to sudden quenches. When time‐correlated noise is introduced, the outcome depends entirely on the protocol: noise can either boost stored energy or improve efficiency, never both ...
Riccardo Grazi +3 more
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Local Lidskii's theorems for unitarily invariant norms [PDF]
, 2020 Lidskii's additive inequalities (both for eigenvalues and singular values) can be interpreted as an explicit description of global minimizers of functions that are built on unitarily invariant norms, with domains consisting of certain orbits of matrices (
Rios, Noelia Belén +2 more
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Norm bounds for Hadamard products and an arithmetic - geometric mean inequality for unitarily invariant norms [PDF]
, 1995 An arithmetic-geometric mean inequality for unitarily invariant norms and matrices,2∥A∗XB∥⩽∥AA∗X+XBB∗∥,is an immediate consequence of a basic inequality for singular values of Hadamard ...
Horn, Roger A.
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